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Finding the Fourth Proportional to 1,302, 1,952.64 and 1,096.68

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Solution

The fourth proportional to 1,302, 1,952.64 and 1,096.68 is: 1,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302 : 1,952.64 = 1,096.68 : x
  2. Step 2: Convert to fraction form
    1,302/1,952.64 = 1,096.68/x
  3. Step 3: Cross multiply
    1,302x = 1,952.64 × 1,096.68
  4. Step 4: Simplify right side
    1,302x = 2,141,421.24
  5. Step 5: Solve for x
    x = 2,141,421.24/1,302
  6. Step 6: Final answer
    x = 1,644.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.